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Finding the Third Proportional to 98,474 and 148,875

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Solution

The third proportional to 98,474 and 148,875 is: 225,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474 : 148,875 = 148,875 : x
  2. Step 2: Convert to fraction form
    98,474/148,875 = 148,875/x
  3. Step 3: Cross multiply
    98,474x = 148,875 × 148,875
  4. Step 4: Simplify right side
    98,474x = 22,163,765,625
  5. Step 5: Solve for x
    x = 22,163,765,625/98,474
  6. Step 6: Final answer
    x = 225,072.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.